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Finding the Fourth Proportional to 65,288.80, 97,940.25 and 27,852.84

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Solution

The fourth proportional to 65,288.80, 97,940.25 and 27,852.84 is: 41,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,288.80 : 97,940.25 = 27,852.84 : x
  2. Step 2: Convert to fraction form
    65,288.80/97,940.25 = 27,852.84/x
  3. Step 3: Cross multiply
    65,288.80x = 97,940.25 × 27,852.84
  4. Step 4: Simplify right side
    65,288.80x = 2,727,914,112.81
  5. Step 5: Solve for x
    x = 2,727,914,112.81/65,288.80
  6. Step 6: Final answer
    x = 41,782.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.